Properties | Scale degrees of 7edt | 7n-edt Family

Properties

The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit orwell temperament and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the 53edo orwell generator which is 271.698 cents.

Scale degrees of 7edt

Degrees	Cents	Approximate Ratio
0	0	1/1
1	271.708	7/6
2	543.416	15/11, 11/8
3	815.124	8/5
4	1086.831	15/8
5	1358.539	11/5 (11/10 plus an octave)
6	1630.247	18/7 (9/7 plus an octave)
7	1901.955	3/1

Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the eric comma.